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A233090 Decimal expansion of sum_(n=1..infinity) (-1)^(n-1)*H(n)/n^2, where H(n) is the n-th harmonic number. 5
7, 5, 1, 2, 8, 5, 5, 6, 4, 4, 7, 4, 7, 4, 6, 4, 2, 8, 3, 7, 4, 8, 3, 6, 3, 5, 0, 9, 4, 4, 6, 5, 6, 2, 4, 4, 2, 2, 8, 1, 1, 6, 4, 3, 2, 7, 1, 2, 8, 1, 1, 8, 0, 1, 1, 2, 0, 1, 6, 9, 7, 2, 2, 0, 8, 8, 6, 4, 8, 8, 7, 8, 6, 1, 6, 4, 4, 5, 6, 8, 1, 3, 6, 6, 5, 3, 4, 9, 2, 1, 0, 0, 5, 8, 3, 4, 5, 3, 6, 3 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..99.

Philippe Flajolet, Bruno Salvy, Euler Sums and Contour Integral Representations, Experimental Mathematics 7:1 (1998), page 32.

FORMULA

Equals 5*zeta(3)/8.

EXAMPLE

0.7512855644747464283748363509446562442281164327128118011201697220886...

MATHEMATICA

RealDigits[ 5*Zeta[3]/8, 10, 100] // First

CROSSREFS

Cf. A002117: zeta(3); A197070: 3*zeta(3)/4; A233091: 7*zeta(3)/8; A076788: alternating sum with denominator n; A152648: non-alternating sum with denominator n^2; A152649: non-alternating sum with denominator n^3; A233033: alternating sum with denominator n^3.

Sequence in context: A093205 A156536 A110191 * A254177 A021575 A334632

Adjacent sequences:  A233087 A233088 A233089 * A233091 A233092 A233093

KEYWORD

nonn,cons

AUTHOR

Jean-Fran├žois Alcover, Dec 04 2013, after the comment by Peter Bala about A233033.

STATUS

approved

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Last modified October 31 05:06 EDT 2020. Contains 338098 sequences. (Running on oeis4.)